 
Summary: Math 920 (922) Class Syllabus Fall Semester 2011
Functional Analysis
Lecture: Monday, Wednesday, Friday, 3:00 3:50 in room C211 Wells Hall
Instructor: Prof. Casim Abbas
A202 Wells Hall
phone: 353 8499
abbas@math.msu.edu
Office hours: Monday, Wednesday, Friday, 4:105:00 or by appointment
Textbook: Haim Brezis; Functional Analysis, Sobolev Spaces and Partial, Differential Equations;
Springer (an electronic copy is available from the MSU library webpage). I will use my
lecture notes from the Spring semester of 2003 which are available on my webpage.
Topics covered: Normed linear spaces (Examples of Banach spaces, AscoliArzela theorem, Frechet
Kolmogorov theorem, uniform convexity), Linear operators (BanachSteinhaus theorem,
open mapping principle, topological complements), Hilbert spaces (Riesz representation
theorem, Lax Milgram lemma, Radon Nikodym theorem), Hahn Banach theorem, Dual
spaces, Reflexivity, Weak and weak * convergence, Milman's theorem, Spectrum of
compact operators.
Grades: I expect that you attend classes regularly and that you complete the occasional
homework assignments.
Important dates:
